To solve the equation [tex]\(x + 3y = 9\)[/tex], we need to understand its structure and implications for values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
1. Identify the Coefficients and Constant Term:
- The coefficient of [tex]\(x\)[/tex] is 1.
- The coefficient of [tex]\(y\)[/tex] is 3.
- The constant term is 9.
2. Represent the Equation as a Tuple:
- The coefficients of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] together form a tuple [tex]\((1, 3)\)[/tex].
- The constant term 9 is represented separately.
Therefore, the equation [tex]\(x + 3y = 9\)[/tex] can be represented in a structured form as:
- A tuple [tex]\((1, 3)\)[/tex] representing the coefficients of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] respectively.
- The constant term 9.
So, the detailed solution gives us:
[tex]\[
((1, 3), 9)
\][/tex]
This representation clearly shows the relationship between the coefficients and the constant term of the given linear equation.
